Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes

A two-dimensional interpolation function for irregularly-spaced data

Donald S. Shepard · 1968 · 5K citations

Computing, Geography, Meteorology +9

Sliding interfaces with contact-impact in large-scale Lagrangian computations

J.O. Hallquist, G.L. Goudreau, David J. Benson · Computer Methods in Applied Mechanics and Engineering · 1985 · 529 citations

Engineering, Computational Engineering, Mechanical Engineering +12

Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes

Konstantin Lipnikov, Mikhail Shashkov, D. Svyatskiy et al. · Journal of Computational Physics · 2007 · 264 citations

Computing, Mathematics, Physics +16

A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids

Komla Domelevo, Pascal Omnès · ESAIM Mathematical Modelling and Numerical Analysis · 2005 · 228 citations · Full text

Computing, Computational Engineering, Computational Mechanics +16

Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem

Yves Coudière, Jean‐Paul Vila, Philippe Villedieu · ESAIM Mathematical Modelling and Numerical Analysis · 1999 · 220 citations · Full text

Computing, Computational Engineering, Computational Fluid Dynamics +16